Starting computation seeded with parameter(s): 37 Command:parameters -b blockFiles/SO44dualSOstar+ -o output/SO44dualSOstar+ -t D -s 37=(7/2+,5/2+,3/2+,1/2+) G=SO(p,q) (p+q even) (based on the block file blockFiles/SO44dualSOstar+) Computed Parameters: Barbasch: parametera in Barbasch's notation Action: how the parameter was obtained Atlas: parameter from atlas block file blockFiles/SO44dualSOstar+ Barbasch Action Atlas (;,7/2_-5/2,3/2_-1/2) 4^1 0(17,37): 2 3 [rn,C+,rn,i2] 0 3 0 0 ( *, *) ( *, *) ( *, *) ( 1, 2) 1,3 (;,7/2_-5/2,3/2+,-1/2+) 2x4 1(24,35): 3 5 [rn,C+,rn,r2] 1 4 1 2 ( *, *) ( *, *) ( *, *) ( 0, *) 1,3,4 (;,7/2_-5/2,3/2-,-1/2-) 2x5 2(24,36): 3 5 [rn,C+,rn,r2] 2 5 2 1 ( *, *) ( *, *) ( *, *) ( 0, *) 1,3,4 (;,7/2_-3/2,5/2_-1/2) 4x6 3(28,34): 3 3 [C+,C-,C+,C+] 7 0 7 6 ( *, *) ( *, *) ( *, *) ( *, *) 2,1,3,2 (;,7/2_-3/2,5/2-,-1/2+) 4x8 4(35,32): 4 5 [C+,C-,C+,C+] 13 1 10 8 ( *, *) ( *, *) ( *, *) ( *, *) 2,1,3,4,2 (;,7/2_-3/2,5/2+,-1/2-) 4x9 5(35,33): 4 5 [C+,C-,C+,C+] 12 2 11 9 ( *, *) ( *, *) ( *, *) ( *, *) 2,1,3,4,2 (;,7/2_1/2,5/2_3/2) 2^8 6(36,31): 4 3 [C+,i2,C+,C-] 14 6 14 3 ( *, *) ( 8, 9) ( *, *) ( *, *) 4,2,1,3,2,4 (;,7/2_-1/2,5/2_-3/2) 4x14 7(43,30): 4 3 [C-,rn,C-,C+] 3 7 3 14 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,2,1,3,2 (;,7/2_1/2,5/2-,3/2-) 3x15 8(46,28): 5 5 [C+,r2,C+,C-] 18 9 15 4 ( *, *) ( 6, *) ( *, *) ( *, *) 2,4,2,1,3,2,4 (;,7/2_1/2,5/2+,3/2+) 1x17 9(46,29): 5 5 [C+,r2,C+,C-] 17 8 16 5 ( *, *) ( 6, *) ( *, *) ( *, *) 2,4,2,1,3,2,4 (;,7/2_-1/2,5/2-,-3/2-) 4x15 10(47,26): 5 5 [C+,rn,C-,C+] 20 10 4 15 ( *, *) ( *, *) ( *, *) ( *, *) 3,2,1,3,4,2,3 (;,7/2_-1/2,5/2+,-3/2+) 4x16 11(47,27): 5 5 [C+,rn,C-,C+] 19 11 5 16 ( *, *) ( *, *) ( *, *) ( *, *) 3,2,1,3,4,2,3 (;,5/2_-3/2,7/2-,-1/2-) 4x17 12(48,24): 5 5 [C-,rn,C+,C+] 5 12 19 17 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,1,3,4,2,1 (;,5/2_-3/2,7/2+,-1/2+) 4x18 13(48,25): 5 5 [C-,rn,C+,C+] 4 13 20 18 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,1,3,4,2,1 (;,7/2_3/2,5/2_1/2) 2x21 14(49,23): 5 3 [C-,C+,C-,C-] 6 21 6 7 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,1,3,2,4 (;,7/2_3/2,5/2-,1/2+) 2x22 15(55,21): 6 5 [C+,C+,C-,C-] 26 22 8 10 ( *, *) ( *, *) ( *, *) ( *, *) 3,2,1,4,2,1,3,2,4 (;,7/2_3/2,5/2+,1/2-) 2x23 16(55,22): 6 5 [C+,C+,C-,C-] 27 23 9 11 ( *, *) ( *, *) ( *, *) ( *, *) 3,2,1,4,2,1,3,2,4 (;,5/2_1/2,7/2-,3/2+) 2x25 17(56,19): 6 5 [C-,C+,C+,C-] 9 25 27 12 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,4,2,1,3,2,4 (;,5/2_1/2,7/2+,3/2-) 3x26 18(56,20): 6 5 [C-,C+,C+,C-] 8 24 26 13 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,4,2,1,3,2,4 (;,5/2_-1/2,7/2-,-3/2+) 4x27 19(57,17): 6 5 [C-,C+,C-,C+] 11 29 12 27 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3 (;,5/2_-1/2,7/2+,-3/2-) 4x26 20(57,18): 6 5 [C-,C+,C-,C+] 10 28 13 26 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3 (;,7/2_5/2,3/2_1/2) 3^22 21(58,16): 6 3 [i2,C-,i2,rn] 21 14 21 21 (24,25) ( *, *) (22,23) ( *, *) 2,1,3,2,4,2,1,3,2,4 (;,7/2_5/2,3/2+,1/2+) 1^37 22(62,14): 7 5 [i2,C-,r2,rn] 22 15 23 22 (34,37) ( *, *) (21, *) ( *, *) 3,2,1,3,2,4,2,1,3,2,4 (;,7/2_5/2,3/2-,1/2-) 1^33 23(62,15): 7 5 [i2,C-,r2,rn] 23 16 22 23 (32,33) ( *, *) (21, *) ( *, *) 3,2,1,3,2,4,2,1,3,2,4 (;,3/2_1/2,7/2+,5/2+) 3^37 24(63,12): 7 5 [r2,C-,i2,rn] 25 18 24 24 (21, *) ( *, *) (33,37) ( *, *) 1,2,1,3,2,4,2,1,3,2,4 (;,3/2_1/2,7/2-,5/2-) 3^34 25(63,13): 7 5 [r2,C-,i2,rn] 24 17 25 25 (21, *) ( *, *) (32,34) ( *, *) 1,2,1,3,2,4,2,1,3,2,4 (;,5/2_3/2,7/2+,1/2+) 2^37 26(64,10): 7 5 [C-,i2,C-,C-] 15 26 18 20 ( *, *) (36,37) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3,2,4 (;,5/2_3/2,7/2-,1/2-) 2^32 27(64,11): 7 5 [C-,i2,C-,C-] 16 27 17 19 ( *, *) (31,32) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3,2,4 (;,3/2^1/2,7/2+,5/2-) 4^36 28(65, 8): 7 5 [rn,C-,rn,i2] 28 20 28 28 ( *, *) ( *, *) ( *, *) (35,36) 1,3,2,1,3,2,4,2,1,3,2 (;,3/2^1/2,7/2-,5/2+) 4^31 29(65, 9): 7 5 [rn,C-,rn,i2] 29 19 29 29 ( *, *) ( *, *) ( *, *) (30,31) 1,3,2,1,3,2,4,2,1,3,2 (;,7/2-,5/2+,-1/2-,-3/2+) 4x31 30(66, 0): 8 6 [rn,rn,rn,r2] 30 30 30 31 ( *, *) ( *, *) ( *, *) (29, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2-,5/2+,3/2+,1/2-) 2x32 31(66, 1): 8 6 [rn,r2,rn,r2] 31 32 31 30 ( *, *) (27, *) ( *, *) (29, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2-,5/2-,3/2-,1/2-) 3x34 32(66, 2): 8 6 [r2,r2,r2,rn] 33 31 34 32 (23, *) (27, *) (25, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2+,5/2+,3/2-,1/2-) 3x37 33(66, 3): 8 6 [r2,rn,r2,rn] 32 33 37 33 (23, *) ( *, *) (24, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2-,5/2-,3/2+,1/2+) 1x37 34(66, 4): 8 6 [r2,rn,r2,rn] 37 34 32 34 (22, *) ( *, *) (25, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2+,5/2-,-1/2+,-3/2-) 4x36 35(66, 5): 8 6 [rn,rn,rn,r2] 35 35 35 36 ( *, *) ( *, *) ( *, *) (28, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2+,5/2-,3/2-,1/2+) 2x37 36(66, 6): 8 6 [rn,r2,rn,r2] 36 37 36 35 ( *, *) (26, *) ( *, *) (28, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2+,5/2+,3/2+,1/2+) *** 37(66, 7): 8 6 [r2,r2,r2,rn] 34 36 33 37 (22, *) (26, *) (24, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 All parameters computed